m=67 , (6,-3)

Use the formula for the equation of a line to find b.

y=mx+b

Substitute the value of m into the equation.

y=(67)x+b

Substitute the value of x into the equation.

y=(67)⋅(6)+b

Substitute the value of y into the equation.

-3=(67)⋅(6)+b

Find the value of b.

Rewrite the equation as (67)⋅(6)+b=-3.

(67)⋅(6)+b=-3

Multiply (67)(6).

Combine 67 and 6.

6⋅67+b=-3

Multiply 6 by 6.

367+b=-3

367+b=-3

Move all terms not containing b to the right side of the equation.

Subtract 367 from both sides of the equation.

b=-3-367

To write -3 as a fraction with a common denominator, multiply by 77.

b=-3⋅77-367

Combine -3 and 77.

b=-3⋅77-367

Combine the numerators over the common denominator.

b=-3⋅7-367

Simplify the numerator.

Multiply -3 by 7.

b=-21-367

Subtract 36 from -21.

b=-577

b=-577

Move the negative in front of the fraction.

b=-577

b=-577

b=-577

b=-577

Now that the values of m (slope) and b (y-intercept) are known, substitute them into y=mx+b to find the equation of the line.

y=67x-577

Find the Equation Using Slope-Intercept Form m=6/7 , (6,-3)